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We consider an inverse acoustic scattering problem in simultaneously recovering an embedded obstacle and its surrounding inhomogeneous medium by formally determined far-field data. It is shown that the knowledge of the scattering amplitude…

Analysis of PDEs · Mathematics 2017-05-24 Hongyu Liu , Xiaodong Liu

Image matting refers to predicting the alpha values of unknown foreground areas from natural images. Prior methods have focused on propagating alpha values from known to unknown regions. However, not all natural images have a specifically…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Huanqia Cai , Fanglei Xue , Lele Xu , Lili Guo

Reference-based image super-resolution (RefSR) has shown promising success in recovering high-frequency details by utilizing an external reference image (Ref). In this task, texture details are transferred from the Ref image to the…

Computer Vision and Pattern Recognition · Computer Science 2021-06-07 Liying Lu , Wenbo Li , Xin Tao , Jiangbo Lu , Jiaya Jia

The human visual system processes images with varied degrees of resolution, with the fovea, a small portion of the retina, capturing the highest acuity region, which gradually declines toward the field of view's periphery. However, the…

Computer Vision and Pattern Recognition · Computer Science 2023-04-13 Beatriz Paula , Plinio Moreno

The standard approach to compressive sampling considers recovering an unknown deterministic signal with certain known structure, and designing the sub-sampling pattern and recovery algorithm based on the known structure. This approach…

Information Theory · Computer Science 2016-02-03 Yen-Huan Li , Volkan Cevher

We propose a new method for fine-grained few-shot recognition via deep object parsing. In our framework, an object is made up of K distinct parts and for each part, we learn a dictionary of templates, which is shared across all instances…

Computer Vision and Pattern Recognition · Computer Science 2022-10-14 Ruizhao Zhu , Pengkai Zhu , Samarth Mishra , Venkatesh Saligrama

In the plane, we study the transform $R_\gamma f$ of integrating a unknown function $f$ over circles centered at a given curve $\gamma$. This is a simplified model of SAR, when the radar is not directed but has other applications, like…

Analysis of PDEs · Mathematics 2012-05-07 Plamen Stefanov , Gunther Uhlmann

We consider a problem of considerable practical interest: the recovery of a data matrix from a sampling of its entries. Suppose that we observe m entries selected uniformly at random from a matrix M. Can we complete the matrix and recover…

Information Theory · Computer Science 2008-05-30 Emmanuel J. Candes , Benjamin Recht

We propose a novel problem formulation of learning a single task when the data are provided in different feature spaces. Each such space is called an outlook, and is assumed to contain both labeled and unlabeled data. The objective is to…

Machine Learning · Computer Science 2011-06-15 Maayan Harel , Shie Mannor

Region proposal based methods like R-CNN and Faster R-CNN models have proven to be extremely successful in object detection and segmentation tasks. Recently, Transformers have also gained popularity in the domain of Computer Vision, and are…

Computer Vision and Pattern Recognition · Computer Science 2021-10-07 Deepanshu Pandey , Pradyumna Gupta , Sumit Bhattacharya , Aman Sinha , Rohit Agarwal

In this paper we tackle the problem of recovering the phase of complex linear measurements when only magnitude information is available and we control the input. We are motivated by the recent development of dedicated optics-based hardware…

Machine Learning · Computer Science 2020-02-17 Sidharth Gupta , Rémi Gribonval , Laurent Daudet , Ivan Dokmanić

An approach is proposed for recovering affine correspondences (ACs) from orientation- and scale-invariant, e.g. SIFT, features. The method calculates the affine parameters consistent with a pre-estimated epipolar geometry from the point…

Computer Vision and Pattern Recognition · Computer Science 2018-07-11 Daniel Barath

Classical anomaly detection is principally concerned with point-based anomalies, those anomalies that occur at a single point in time. Yet, many real-world anomalies are range-based, meaning they occur over a period of time. Motivated by…

Machine Learning · Computer Science 2019-01-04 Nesime Tatbul , Tae Jun Lee , Stan Zdonik , Mejbah Alam , Justin Gottschlich

How well will current interpretability techniques generalize to future models? A relevant case study is Mamba, a recent recurrent architecture with scaling comparable to Transformers. We adapt pre-Mamba techniques to Mamba and partially…

Machine Learning · Computer Science 2024-07-23 Danielle Ensign , Adrià Garriga-Alonso

Robotic pick-and-place has been researched for a long time to cope with uncertainty of novel objects and changeable environments. Past works mainly focus on learning-based methods to achieve high precision. However, they have difficulty…

Robotics · Computer Science 2022-01-28 Hao Chen , Takuya Kiyokawa , Weiwei Wan , Kensuke Harada

For given real or complex $m \times n$ data matrices $X$, $Y$, we investigate when there is a matrix $A$ such that $AX = Y$, and $A$ is invertible, Hermitian, positive (semi)definite, unitary, an orthogonal projection, a reflection, complex…

Functional Analysis · Mathematics 2025-04-25 Kyle Bierly , Stephan Ramon Garcia , Roger A. Horn

The paper addresses the problem of learning a regression model parameterized by a fixed-rank positive semidefinite matrix. The focus is on the nonlinear nature of the search space and on scalability to high-dimensional problems. The…

Machine Learning · Computer Science 2011-02-01 Gilles Meyer , Silvere Bonnabel , Rodolphe Sepulchre

A classical approach to investigate a closed projective scheme $W$ consists of considering a general hyperplane section of $W$, which inherits many properties of $W$. The inverse problem that consists in finding a scheme $W$ starting from a…

Algebraic Geometry · Mathematics 2018-07-20 Cristina Bertone , Francesca Cioffi , Davide Franco

Machine unlearning seeks to remove the influence of particular data or class from trained models to meet privacy, legal, or ethical requirements. Existing unlearning methods tend to forget shallowly: phenomenon of an unlearned model pretend…

Machine Learning · Computer Science 2025-07-23 Jaeheun Jung , Bosung Jung , Suhyun Bae , Donghun Lee

We establish inversion formulas of the so called filtered back-projection type to recover a function supported in the ball in even dimensions from its spherical means over spheres centered on the boundary of the ball. We also find several…

Analysis of PDEs · Mathematics 2007-05-23 D. Finch , M. Haltmeier , Rakesh
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